Symmetry and Z_2-Orbifolding Approach in Five-dimensional Lattice Gauge Theory
K. Ishiyama, M. Murata, H. So, K. Takenaga
TL;DR
This paper explores a novel global symmetry in a five-dimensional lattice gauge theory with Z_2-orbifolding, identifying a new order parameter and discussing the effective lattice theory.
Contribution
It introduces a new global symmetry arising from Z_2-orbifolding in five-dimensional lattice gauge theories, and analyzes its implications and order parameters.
Findings
Identification of a new global symmetry in Z_2-orbifolded lattice gauge theory
The Z_2-projected Polyakov loop as an order parameter
Discussion of the effective lattice theory
Abstract
In a lattice gauge-Higgs unification scenario using a Z_2-orbifolded extra-dimension, we find a new global symmetry in a case of SU(2) bulk gauge symmetry. It is a global symmetry on sites in a fixed point with respect to Z_2-orbifolding, independent of the bulk gauge symmetry. It is shown that the vacuum expectation value of a Z_2-projected Polyakov loop is a good order parameter of the new symmetry. The effective theory on lattice is also discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.